Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 882/482, 7256/2129 quickly i.e. 3199896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 882/482, 7256/2129 is 3199896.
LCM(882/482, 7256/2129) = 3199896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 882/482,7256/2129
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 882,7256
Least Common Multiple of Numerators i.e. LCM of 882,7256 is 3199896.
GCF of Denominators means GCF of 482,2129 as per the given fractions.
GCF of 482,2129 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 882,7256
2 | 882, 7256 |
441, 3628 |
∴ So the LCM of the given numbers is 2 x 441 x 3628 = 3199896
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 882,7256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,7256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(882,7256) x common factors =2 x 1 = 2
LCM(882,7256) = ( 882 × 7256 ) / 2
LCM(882,7256) = 6399792 / 2
LCM(882,7256) = 3199896
Lets's calculate GCF of 482,2129
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3199896/1
Therefore the LCM of Fractions 882/482,7256/2129 is 3199896
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 2129
List of positive integer factors of 2129 that divides 2129 without a remainder.
1,2129
Greatest Common Factor
We found the factors 482,2129 . The biggest common factor number is the GCF number.
So the greatest common factor 482,2129 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 882/482, 7256/2129?
Answer: LCM of Numerators as per given numbers 882/482, 7256/2129 is
LCM of Numerators i.e. for 882,7256 is 3199896
GCF of denominators i.e. for 482,2129 is 1.
Thus, LCM of Fractions is 3199896.Finally, LCM of Fractions for 882/482, 7256/2129 is 3199896.